A random sample of 12 employees in a large manufacturing plant found the following figures for number of hours of overtime worked in the last month:22 16 28 12 18 36 23 11 41 29 26 31Use unbiased estimation procedures to find point estimates for the following:a. The population meanb. The population variancec. The variance of the sample meand. The population proportion of employees working more than 30 hours of overtime in this plant in the last month
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A random sample of 12 employees in a large manufacturing plant found the following figures for number of hours of overtime worked in the last month:
22 16 28 12 18 36 23 11 41 29 26 31
Use unbiased estimation procedures to find point estimates for the following:
a. The population mean
b. The population variance
c. The variance of the sample mean
d. The population proportion of employees working more than 30 hours of overtime in this plant in the last month
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